(a) Formulate a linear programming model for maximizing total profit contribution. (Let Pj= units of product i produced, for i=1, 2, 3.) Max s.t. Department A Department B Department C P1,P2,P30 (P1,P2,P3)=()withprofit$ product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? produced and zero otherwise, for i=1,2,3. What is the objective function of the mixed-integer linear program? Max produced and zero otherwise, for i=1,2,3.) What is the objective function of the mixed-integer linear program? Max In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? S.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;y1,y2,y3=0,1 (P1,P2,P3,y1,y2,y3)=(withprofit$ (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pj= units of product i produced, for i=1, 2, 3.) Max s.t. Department A Department B Department C P1,P2,P30 (P1,P2,P3)=()withprofit$ product 3. If the solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? produced and zero otherwise, for i=1,2,3. What is the objective function of the mixed-integer linear program? Max produced and zero otherwise, for i=1,2,3.) What is the objective function of the mixed-integer linear program? Max In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? S.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced P1,P2,P30;y1,y2,y3=0,1 (P1,P2,P3,y1,y2,y3)=(withprofit$